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Finding the Third Proportional to 284,220 and 429,274

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Solution

The third proportional to 284,220 and 429,274 is: 648,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,220 : 429,274 = 429,274 : x
  2. Step 2: Convert to fraction form
    284,220/429,274 = 429,274/x
  3. Step 3: Cross multiply
    284,220x = 429,274 × 429,274
  4. Step 4: Simplify right side
    284,220x = 184,276,167,076
  5. Step 5: Solve for x
    x = 184,276,167,076/284,220
  6. Step 6: Final answer
    x = 648,357.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.